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Stabilité de l’holonomie sur les variétés quasi-projectives
Published online by Cambridge University Press: 24 August 2011
Abstract
Let 𝒱 be a mixed characteristic complete discrete valuation ring with perfect residue field k. We solve Berthelot’s conjectures on the stability of the holonomicity over smooth projective formal 𝒱-schemes. Then we build a category of F-complexes of arithmetic 𝒟-modules over quasi-projective k-varieties with bounded and holonomic cohomology. We obtain its stability under Grothendieck’s six operations.
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- Copyright © Foundation Compositio Mathematica 2011
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